Results 81 to 90 of about 304 (161)

Partial normalizations of Coxeter arrangements and discriminants

, 2011
We study natural partial normalization spaces of Coxeter arrangements and discriminants and relate their geometry to representation theory. The underlying ring structures arise from Dubrovin's Frobenius manifold structure which is lifted (without unit ...
Mond, David, Granger, Michel, Schulze, Mathias   +2 more
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Applications of geometric techniques in Coxeter-Catalan combinatorics [PDF]

, 2017
University of Minnesota Ph.D. dissertation. September 2017. Major: Mathematics. Advisor: Victor Reiner. 1 computer file (PDF); ix, 95 pages.In the seminal work [Bes 15], Bessis gave a geometric interpretation of the noncrossing lattice NC(W ...
Douvropoulos, Theodosios
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The order dimension of the poset of regions in a hyperplane arrangement

, 2003
We show that the order dimension of the weak order on a Coxeter group of type A, B or D is equal to the rank of the Coxeter group, and give bounds on the order dimensions for the other finite types.
Reading, Nathan, Nathan Reading
core   +1 more source

Gated chamber complexes, simplicial arrangements and Coxeter groups

, 2015
Die vorliegende Arbeit befasst sich mit Kammerkomplexen mit der Projektionseigenschaft, welche man als Verallgemeinerung des Gebäude-Begriffs von Tits ansehen kann, mit Hyperebenenarrangements, die sich ähnlich wie Spiegelungsarrangements verhalten, sowie mit dem Isomorphieproblem für Coxetergruppen.Im ersten Teil formulieren wir einige Resultate für ...
Weigel, Christian Jens, Justus Liebig University Giessen   +1 more
openaire   +1 more source

Monitoring the photochemistry of a formazan over 15 orders of magnitude in time. [PDF]

Front Chem, 2022
Wortmann S, Kutta RJ, Nuernberger P.
europepmc   +1 more source

Relation spaces of hyperplane arrangements and modules defined by graphs of fiber zonotopes

, 2013
We study the exactness of certain combinatorially defined complexes which generalize the Orlik-Solomon algebra of a geometric lattice. The main results pertain to complex reflection arrangements and their restrictions.
Tobias Finis, Erez Lapid, Finis, T., Lapid, E.   +3 more
core   +1 more source

Sharing pizza in n dimensions

, 2022
International audienceWe introduce and prove the n-dimensional Pizza Theorem: Let H be a hyperplane arrangement in R n. If K is a measurable set of finite volume, the pizza quantity of K is the alternating sum of the volumes of the regions obtained by ...
Morel, Sophie, Ehrenborg, Richard, Readdy, Margaret   +2 more
core   +1 more source

Recent advances in chiral nanomaterials with unique electric and magnetic properties. [PDF]

Nano Converg, 2022
Kwon J, Choi WJ, Jeong U, Jung W, Hwang I, Park KH, Ko SG, Park SM, Kotov NA, Yeom J.   +9 more
europepmc   +1 more source

Special involutions and bulky parabolic subgroups in finite coxeter groups

, 2018
The conjugacy classes of so-called special involutions parameterize the constituents of the action of a finite Coxeter group on the cohomology of the complement of its complexified hyperplane arrangement.
Röhrle, Gerhard, Pfeiffer, Götz
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The homotopy type of toric arrangements [PDF]

A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex S homotopy equivalent to the arrangement complement ℜ x, with a combinatorial ...
Luca Moci, Simona Settepanella
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